Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms344×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.5b
(/ (* (- y x) z) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
4.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (* (- y x) z) t))
32.0ms
(* (- y x) z)
42.0ms
(/ (* (- y x) z) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.8b
(/ (- y x) (/ t z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
31.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0609959
12199914
25001913

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.9b
(* (- y x) (/ z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* (- y x) (/ z t)))
42.0ms
(* (- y x) (/ z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0296310
11245287
25001275

prune116.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.7b
(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
493×times-frac
229×add-sqr-sqrt *-un-lft-identity
183×add-cube-cbrt
99×cbrt-prod
34×div-inv
25×add-exp-log
23×distribute-lft-out-- difference-of-squares
22×associate-/r*
18×add-cbrt-cube
13×cbrt-undiv div-exp
9×associate-/l*
4×pow1 add-log-exp
3×pow1/3
2×div-sub prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/r/ associate-/l/
Counts
4 → 287
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
23.0ms
(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

series624.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
180.0ms
(cbrt t)
177.0ms
(cbrt t)
82.0ms
(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
299 → 299
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013614265
150013926

prune975.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

26.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch76.0ms

Steps
ItersRangePoint
7
1.2494279041889053e-307
3.287415560691316e-306
1.3320067552737007e-307
8
-15640006985.087824
-8934865.5420102
-392971998.9878708

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1289

end0.0ms

sample522.0ms

Algorithm
intervals
Results
267.0ms10581×body80valid